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Finding the Fourth Proportional to 39,806.38, 59,715.06 and 13,504.06

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Solution

The fourth proportional to 39,806.38, 59,715.06 and 13,504.06 is: 20,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,806.38 : 59,715.06 = 13,504.06 : x
  2. Step 2: Convert to fraction form
    39,806.38/59,715.06 = 13,504.06/x
  3. Step 3: Cross multiply
    39,806.38x = 59,715.06 × 13,504.06
  4. Step 4: Simplify right side
    39,806.38x = 806,395,753.14
  5. Step 5: Solve for x
    x = 806,395,753.14/39,806.38
  6. Step 6: Final answer
    x = 20,257.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.